Design of Welded Steel Tubular Connections. Steel tubes are widely used in building, road transportation, defence, recreation, and agriculture industries. The proposed program will develop static design procedures for welded tubular connections to ensure safe and economic structures. The program will also investigate the behaviour of a popular tubular connection utilizing very high strength steel tubes to extend the existing design scope and enhance the utilization of Australian produced innovat ....Design of Welded Steel Tubular Connections. Steel tubes are widely used in building, road transportation, defence, recreation, and agriculture industries. The proposed program will develop static design procedures for welded tubular connections to ensure safe and economic structures. The program will also investigate the behaviour of a popular tubular connection utilizing very high strength steel tubes to extend the existing design scope and enhance the utilization of Australian produced innovative tubular sections. The notch toughness of steel tubes will also be investigated to avoid fracture failure of welded connections under dynamic loading. The program will build strong ongoing collaboration between University of Toronto and Monash University.Read moreRead less
Ergodic theory and number theory. Recent advances in the theory of measured dynamical systems investigated by the proponents include new versions of entropy, and the study of spectral theory for non-singular systems. These will be further developed in this joint project with the French CNRS. The results are expected to have interesting applications in physics and number theory.
Entropy and maximal entropy in Markov systems. Entropy is a measure of how well-ordered a system is: chaotic systems have high entropy. Two approaches to entropy are available, via the limiting behaviour of the orbits of points, which yields topological entropy, and via the behaviour of the distributions of measures of partitions, yielding measure-theoretic entropy. The topological entropy is the least upper bound of entropies of all possible measures. We study when there is a measure which real ....Entropy and maximal entropy in Markov systems. Entropy is a measure of how well-ordered a system is: chaotic systems have high entropy. Two approaches to entropy are available, via the limiting behaviour of the orbits of points, which yields topological entropy, and via the behaviour of the distributions of measures of partitions, yielding measure-theoretic entropy. The topological entropy is the least upper bound of entropies of all possible measures. We study when there is a measure which realises this bound, describing the structure of such systems via Markov and Bratteli diagrams. Our methods will be applied to new versions of entropy for non-singular systems. This will assist in the description of chaotic behaviour.Read moreRead less
A reliable physical model of molecular motion in crystals. The scientific benefits would flow, in the first instance, to the large national and international communities of scientists whose research makes use of the results of X-ray diffraction experiments. Applications of the research to amino acids and peptides will benefit investigations into the structure and molecular dynamics of biological systems, including proteins and enzymes. Studies of charge densities in crystals will obtain a standa ....A reliable physical model of molecular motion in crystals. The scientific benefits would flow, in the first instance, to the large national and international communities of scientists whose research makes use of the results of X-ray diffraction experiments. Applications of the research to amino acids and peptides will benefit investigations into the structure and molecular dynamics of biological systems, including proteins and enzymes. Studies of charge densities in crystals will obtain a standard tool for improved modelling of molecular motion, resulting in physically more realistic charge density functions, and hence greater insight into the relationship between properties of crystals and their constituent molecules.Read moreRead less
Propagation of singularities for the Schrodinger equation. The time-dependent Schrodinger equation governs the evolution of quantum particles. In this project we aim to use new techniques from mathematical scattering theory to analyse solutions of the Schrodinger equation and obtain sharp bounds on their singularities. Controlling such singularities will allow us to deduce quantitative bounds on the number of eigenvalues in certain situations, and provide new techniques for studying nonlinear Sc ....Propagation of singularities for the Schrodinger equation. The time-dependent Schrodinger equation governs the evolution of quantum particles. In this project we aim to use new techniques from mathematical scattering theory to analyse solutions of the Schrodinger equation and obtain sharp bounds on their singularities. Controlling such singularities will allow us to deduce quantitative bounds on the number of eigenvalues in certain situations, and provide new techniques for studying nonlinear Schrodinger equations. Read moreRead less
The role of water uptake in novel all solid-state polymeric ion sensors. This research will enable the development of robust all solid-state polymeric ion sensors based on unplasticized copolymers. Significantly, the physical and chemical robustness of these copolymer ion sensors will allow their widespread use in new and exciting analytical applications, e.g., in-situ analysis of environmental samples in submersible instruments, clinical analysis of whole blood, in-vivo use of miniaturized ele ....The role of water uptake in novel all solid-state polymeric ion sensors. This research will enable the development of robust all solid-state polymeric ion sensors based on unplasticized copolymers. Significantly, the physical and chemical robustness of these copolymer ion sensors will allow their widespread use in new and exciting analytical applications, e.g., in-situ analysis of environmental samples in submersible instruments, clinical analysis of whole blood, in-vivo use of miniaturized electrodes in biological media, especially single cells and minute samples in biology and forensic science, etc. Extensive use of neutron characterization techniques aligns strongly this project with the new OPAL reactor to be commissioned in 2007.Read moreRead less
Overcoming the Barriers in the Development of Solid State Materials. A major impact of this proposal shall be in terms of researcher training. By synergistically combining materials chemistry, fundamental physical chemistry, inorganic chemistry, and electrochemistry, this basic program will provide high level training to a new generation of Australian and Irish scientists thus helping to safeguard the economic competitiveness of the countries. Beyond the impact of the fundamental insight into t ....Overcoming the Barriers in the Development of Solid State Materials. A major impact of this proposal shall be in terms of researcher training. By synergistically combining materials chemistry, fundamental physical chemistry, inorganic chemistry, and electrochemistry, this basic program will provide high level training to a new generation of Australian and Irish scientists thus helping to safeguard the economic competitiveness of the countries. Beyond the impact of the fundamental insight into the rational design, structure and behaviour of a new class of solid materials, success in this program will have widespread applications for a variety of strategically important industries and should place Australia and Ireland at the forefront of this technologyRead moreRead less
Dynamics of eigenvalue/eigenspace algorithms with applications to signal processing. Many problems in signal and systems lead naturally to an eigenvalue/eigenspace determination and tracking problem; for example (acoustic) echo-cancellation, crosstalk suppression in ADSL modems, direction of arrival determination with an array of sensors, linear system identification etc. Exploiting methods from global analysis and dynamical systems theory we will study the available algorithms for eigenspace de ....Dynamics of eigenvalue/eigenspace algorithms with applications to signal processing. Many problems in signal and systems lead naturally to an eigenvalue/eigenspace determination and tracking problem; for example (acoustic) echo-cancellation, crosstalk suppression in ADSL modems, direction of arrival determination with an array of sensors, linear system identification etc. Exploiting methods from global analysis and dynamical systems theory we will study the available algorithms for eigenspace determination to characterise their computational efficiency, accuracy and effectiveness in various data scenarios. The analysis will lead to improved designs for eigenvalue/eigenspace algorithms, as well as design tools to engineer algorithms to specific situations.Read moreRead less
Risk assessment modelling for corrosion affected concrete infrastructure. Aging and deterioration of physical infrastructure is a global problem that has caused widespread premature structural failures and significantly reduced its designed service life. This is an increasing problem also for Australia. For reinforced concrete infrastructure, the corrosion of the reinforcing steel within the surrounding concrete is the most significant factor. The aim of the project is to improve understanding o ....Risk assessment modelling for corrosion affected concrete infrastructure. Aging and deterioration of physical infrastructure is a global problem that has caused widespread premature structural failures and significantly reduced its designed service life. This is an increasing problem also for Australia. For reinforced concrete infrastructure, the corrosion of the reinforcing steel within the surrounding concrete is the most significant factor. The aim of the project is to improve understanding of the factors that influence corrosion mechanics in marine environments, to re-examine corrosion process in practical concrete structures and to develop a model for corrosion to enable prediction of structural deterioration and improved risk assessment.Read moreRead less
Representations of dynamical systems, amenability, and proper actions. Mathematicians study abstract objects by representing them in terms of well-understood concrete models, and need to know when a representation is faithful, in the sense that the model contains complete information. Dynamical systems are an abstraction of physical systems suitable for studying time evolution and symmetries. The project aims to determine when important representations of dynamical systems are faithful, or, in ....Representations of dynamical systems, amenability, and proper actions. Mathematicians study abstract objects by representing them in terms of well-understood concrete models, and need to know when a representation is faithful, in the sense that the model contains complete information. Dynamical systems are an abstraction of physical systems suitable for studying time evolution and symmetries. The project aims to determine when important representations of dynamical systems are faithful, or, in mathematical language, when the dynamical system is amenable. The proposed strategy involves extending Rieffel's notion of proper actions; the construction should be of wide applicability apart from the intended applications to amenability.Read moreRead less